Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 2 of 3)

The video tutorial covers advanced differentiation rules, including the constant multiple, sum, and difference rules. It provides geometric interpretations and examples to illustrate these rules. The tutorial also demonstrates how to apply these rules to differentiate more complex functions, combining them with the power rule and natural exponential function derivatives.

What is the constant multiple rule in differentiation?

Explain the sum rule of differentiation.

Describe the difference rule and how it is applied.

What steps are involved in finding the derivative of a function that includes both power functions and constants?

How can the constant multiple rule and power rule be combined to find derivatives?

In the example of finding the derivative of F of X equals 5 X minus one, what rules are applied?

What is the final derivative of the function F of T equals the square root of T minus one over the square root of T Plus E to the T over 3?